Pia used 2/3 of her sugar to make 3/4 of a batch of cookies. How much of her sugar would she need to make the whole batch? Write the express

Question

Pia used 2/3 of her sugar to make 3/4 of a batch of cookies. How much of her sugar would she need to make the whole batch? Write the expression you would use and then solve it.

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2 weeks 2021-09-08T07:03:38+00:00 1 Answer 0

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    2021-09-08T07:04:58+00:00

    Let x represent the amount of sugar needed to make one batch of cookies.

    We have been given that Pia used \frac{2}{3} of her sugar to make \frac{3}{4} of a batch of cookies. We are asked to find the amount of sugar needed to make whole batch.

    We can represent our given information in an equation as:

    \frac{3}{4}x=\frac{2}{3}

    Let us solve for x.

    \frac{4}{3}\cdot \frac{3}{4}x=\frac{4}{3}\cdot \frac{2}{3}

    x=\frac{4\cdot 2}{3\cdot 3}

    x=\frac{8}{9}

    Therefore, Pia needs \frac{8}{9} of her sugar to make 1 whole batch of cookies.

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